Đề tài " A five element basis for the uncountable linear orders " doc

... infinity (the existence of a supercompact cardinal) that the class of uncountable linear orders has a five element basis. In fact such a basis follows from the Proper Forcing Axiom, a strong form of the ... basis for the class of uncountable separable linear orders. PFA is a strengthening of the Baire Category Theorem and is independent of the usual...

Ngày tải lên: 06/03/2014, 08:21

... B i and a probability measure µ supported on K η satisfying the condition that for an arbitrary ball A of sufficiently small radius r (A) µ (A)  V f (A) η ,(13) where the implied constant in the ... Falconer, Fractal Geometry: Mathematical Foundations and Applications, John Wi- ley & Sons, New York (1990). [4] P. X. Gallagher, Metric simultaneous diophantine approximation. I...

Ngày tải lên: 22/03/2014, 20:20

... in an “unacceptably” smooth Denjoy map and vector field. University of California, Santa Cruz, CA 95064, USA E-mail address: ginzburg@math.ucsc.edu University of California, Santa Cruz, CA, USA Current ... condition:Iftwo points (a, x), the “entrance”, and (b, y), the “exit”, are on the same characteristic, then x = y.Inother words, for a characteristic that meets both the bottom a...

Ngày tải lên: 05/03/2014, 23:20

... of the M  j ’s as j → ∞. Then one can show that M ∗ is translationally invariant. The translational invariance means that M ∗ is the Cartesian product with R of a flow M of m-dimensional surfaces ... for the heat equation, and we derive the nonparamet- ric equations for mean curvature flow. First we recall the definitions of the Annals of Mathematics, 161 (2005), 1487–1519...

Ngày tải lên: 06/03/2014, 08:21

... that G(u) ≤ ε 1 , and similarly (4.4) must also hold for u h . Annals of Mathematics Sharp local well- posedness results for the nonlinear wave equation By Hart F. Smith and Daniel Tataru ... is essentially a variation on the theme of characteristic energy estimates for the variable coefficient wave equation. The assumption on G(u) implies that each Σ θ,r is the graph o...

Ngày tải lên: 15/03/2014, 09:20

... (Operator Theory: Advances and Applications 108), 129–148, Birkh¨auser, Basel, 1999. Annals of Mathematics, 166 (2007), 549–577 On Mott’s formula for the ac-conductivity in the Anderson model By Abel ... →φ, A ω φ are measurable for all φ ∈H c , A is covariant if U(x )A ω U(x) ∗ = A τ x (ω) for all x ∈ Z d ,(3.9) and A is locally bounded if A ω χ x  < ∞ and  χ x A...

Ngày tải lên: 15/03/2014, 09:20

... 6.2 a result that will play a crucial role for the Paley-Wiener theorem. It shows that Arthur-Campoli functionals on the smaller symmetric space X F,v induce Arthur-Campoli functionals on the ... exists a Hom( ◦ C,V)- valued Laurent functional L  ∈ L⊗V ⊂M (a ∗ q C , Σ) ∗ laur ⊗Hom( ◦ C,V) such that f ψ = L  ψ for all ψ. We first formulate a result in linear algebra, and...

Ngày tải lên: 22/03/2014, 20:20

... less than 1). Then there are a dense f-invariant subset ˜ Σ of Σ and an ε-perturbation ˆ A of A such that for any y ∈ ˜ Σ the linear map M ˆ A (y) is either a dilation or a contraction (according ... if necessary the rectangles of the Markov partition, we can assume that, for any x and y in the same rectangle, A( x) − A( y) <ε and A −1 (x) − A −1 (y) <ε....

Ngày tải lên: 28/03/2014, 22:20

Ngày tải lên: 14/12/2013, 10:16

Ngày tải lên: 14/12/2013, 10:16